We consider the dynamical system with boundary control for the vector Schrdinger equation on the interval with a non-self-adjoint matrix potential. For this system, we study the inverse problem of recovering the matrix potential from the dynamical Neumann-to-Dirichlet operator. We first provide a method to recover spectral data for the Schrdinger system and consequently prove controllability of the system. We then develop a strategy for solving the inverse problem using this method with other techniques of the boundary control method.

中文翻译：

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具有非自伴矩阵势的薛定inger方程的反问题

我们考虑了具有非自伴矩阵势的区间上矢量薛定inger方程的边界控制动力学系统。对于该系统，我们研究了从动态Neumann-to-Dirichlet算子恢复矩阵势的逆问题。我们首先提供一种为Schrdinger系统恢复光谱数据的方法，从而证明该系统的可控性。然后，我们开发了一种使用此方法与边界控制方法的其他技术来解决反问题的策略。